A convergent exponential B-spline collocation method for a time-fractional telegraph equation

DOI10.1007/s40314-023-02213-0zbMath1505.65250OpenAlexW4320491901MaRDI QIDQ2685214

Anshima Singh, Sunil Kumar

Publication date: 20 February 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02213-0

zbMATH Keywords

collocation methodtelegraph equationCaputo fractional derivativeexponential B-splinestime-fractional

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (2)

High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations ⋮ On new approximations of Caputo–Prabhakar fractional derivative and their application to reaction–diffusion problems with variable coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• On the stability and convergence of the time-fractional variable order telegraph equation
• A compact finite difference scheme for the fractional sub-diffusion equations
• High order parameter-robust numerical method for time dependent singularly perturbed reaction-diffusion problems
• A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem
• Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems
• Theory of exponential splines
• Properties of splines in tension
• A practical guide to splines
• Singularly perturbed telegraph equations with applications in the random walk theory
• An exponential B-spline collocation method for the fractional sub-diffusion equation
• Numerical solution of time-fractional order telegraph equation by Bernstein polynomials operational matrices
• A robust numerical technique and its analysis for computing the price of an Asian option
• Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative
• Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix
• A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method
• Fractional calculus in image processing: a review
• A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems
• A parameter uniform B-spline collocation method for solving singularly perturbed turning point problem having twin boundary layers
• High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers
• Legendre multiwavelet Galerkin method for solving the hyperbolic telegraph equation
• Applications of exponential splines in computational fluid dynamics
• Alternatives to the Exponential Spline in Tension
• Wave splitting of the telegraph equation in R ³ and its application to inverse scattering
• A high‐order B‐spline collocation scheme for solving a nonhomogeneous time‐fractional diffusion equation

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